Answer:
the answer to "2 times what equals 25?" is 12.5.
Which graph represents the polynomial function?
f(x)=−x3+x2+9x−9
The curve pass through the y-axis at the coordinate point (0, 10) showing that the y-intercept of the function is (0, 10)
Graph of a polynomialThe graph of a polynomial function is a smooth continuous curve. The point where the curve intersects the x-axis is the zero of the polynomial.
A polynomial is also known to have a degree of 3 and above. Hence the given polynomial has a leading degree of 3 and expressed as:
f(x)=−x^3+x^2+9x−9
The graph of the function is as plotted below. From the function, you can see that the curve pass through the y-axis at the coordinate point (0, 10) showing that the y-intercept of the function is (0, 10)
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How can x² = x² + 2x + 9 be set up as a system of equations? (1 point)
1. y= x²-9
y = x² + 2x + 9
2. y=x²
y = x² + 2x +9
3. y = x² + 2x
y = x² +9
4. y=x²
y = 2x + 9
Answer: 2
Step-by-step explanation:
Each of the two sides of the equation is set equal to y
Simplify the expression. x≠0. (4x^2)^0
1
Step-by-step explanation:Anything raised to the power of zero is 1, other than zero itself.
However, as it is given that x is not equal to zero, the answer must be 1.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation: }[/tex]
[tex]\mathsf{(4x^2)^0}[/tex]
[tex]\huge\textbf{Simplifying:}[/tex]
[tex]\mathsf{(4x^2)^0}\\\\\mathsf{= (4 \timesx^2)^0}\\\\\mathsf{= 4(x \times x)^0}\\\\\mathsf{= (4x^2)^0}\\\\\mathsf{= 1}[/tex]
[tex]\huge\textbf{Therefore, your answer should:}[/tex]
[tex]\huge\boxed{\frak{1}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Choose the inverse of y=x²-10x.
Oy=±√√x-25-5
O y = ± √√x-25 +5
Oy=√x+25-5
Oy=+√√x+25 +5
Answer:
[tex]y = \sqrt{x+25} + 5[/tex]
Step-by-step explanation:
Swap x and y
x = y² – 10y
Add 25 to each side to complete the square
x + 25 = y² – 10y + 25
Factor
x + 25 = (y – 5)²
Take the square root of each side
[tex]\sqrt{x+25}[/tex] = y – 5
Add 5 to both sides
[tex]\sqrt{x+25}[/tex] + 5 = y
graph: g(x)=5cos((\pi )/(2)x-(3\pi )/(2))-2
[tex]g(x)=5cos((\pi )/(2)x-(3\pi )/(2))-2[/tex]
generate by: Amplitude:5 Period:4
Phase shift:(3 to the right) Vertical shift:-2
x=3,g(x)= 3
x=4,g(x)= -2
x=5,g(x)= -5
x=6,g(x)= -2
x=7,g(x)= 3
the graph is like cos(x)
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-5/208 + 4/7 + -3/4. Please answer my question as soon as possible. Thanks!
Answer:
[tex] - 0.2026[/tex]
Step-by-step explanation:
I hope it is the right answer
Each of ten tickets is marked with a different number from 1 to 10 and put in a box. if you draw a ticket from the box, what is the probability that you will draw a number greater than 3?
Answer:
7/10
Step-by-step explanation:
take 3, 2, 1 from the equation and your left with 7 numbers. Add those together you get 10. 7/10 is the probability that you will draw a number greater than 3
Choose the best answer from the choices below: the perpendicular bisector of a chord ____.
The perpendicular bisector of a chord passes through the center of a circle.
What is a chord?In geometry, a chord is a straight line segment that connects two points on the circumference of a circle. It is the longest possible segment within the circle.
The perpendicular bisector of a chord is a line that passes through the midpoint of the chord, creating two equal halves, and is perpendicular to the chord.
Notably, for any chord in a circle, its perpendicular bisector always intersects at the center of the circle, making it a significant geometric property.
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What is (-7624928) * 997 + 7624928 * (-3)
Answer:
-7624928000 is the right answer.
Step-by-step explanation:
(-7624928) × 997 + 7624928 × (-3)
= -7602053216 + (-22874784)
= -7624928000 Ans..
Hope its helpful :-)
If so, please mark me as brainlist :-)
Answer:
Step-by-step explanation:
=(-7624928) * 997 + 7624928 * (-3)
=-7602053216+(-22874784)
=-7624928000
The probability distribution histogram shows the age distribution of giraffes at a zoo.
What is P(4
Enter your answer, as a decimal, in the box.
The value of P(4<X≤12) is 0.45
How to determine the probability?The complete question is added as an attachment
To calculate P(4<X≤12), we use the following equation
P(4<X≤12) = P(4<X≤8) + P(8<X≤12)
From the histogram, we have:
P(4<X≤8) = 0.1
P(8<X≤12) = 0.35
So, we have:
P(4<X≤12) = 0.1 + 0.35
Evaluate
P(4<X≤12) = 0.45
Hence, the value of P(4<X≤12) is 0.45
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In c = 2a 3b, the entry represented by c24 is . in d = 3a − 2b, the entry represented by d13 is .
The element value c₂₄ = -12 and d₁₃ = 14 if C = 2A + 3B and A and B are the matrix.
What is a matrix?A matrix is a rectangular array or table of numbers, symbols, or expressions that are organized in rows and columns to represent a mathematical object or an attribute of such an object in mathematics. For instance, consider a matrix with two rows and three columns.To find the element:
As we have given two matrices A and B:
C = 2A + 3Bc₂₄ = 2(3) + 3(-6)c₂₄ = -12d₁₃ = 3(0) - 2(-7)d₁₃ = 14Therefore, the element value c₂₄ = -12 and d₁₃ = 14 if C = 2A + 3B and A and B are the matrix.
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Find the surface area of this composite solid.
Answer: C, 93m^2
Step-by-step explanation:
first step is to find the surface area of the base. it's 3x3, so that would be 9m^2. the sides of the rectangular prism are 5x3, so one side is 15m^2. there are 4, so 15x4=60m^2. now for the top, which is a triangular prism. each side has a height of 4 and a base of 3. the area of a triangle is 1/2bh, so 1/2(3)(4), which is 6. 4 of these makes 24 m^2. add up all of final numbers to get 9+60+24. this comes to 93m^2, or C.
The motion of an object was recorded by measuring the velocity of the object in meters per second at various times, as shown in the table. The scatterplot below was graphed from the data in the table, where t represents the time, and v represents the velocity. Based on the scatterplot, which equation BEST represents the relationship between velocity and time?
The equation of the line of best fit, using the least square method is v = 2.19t + 6.7, making the 2nd option as the right choice.
In the question, we are asked to find the equation of the line of BEST FIT for the given scatter plot.
We let the time be the independent variable x, and velocity is the dependent variable y.
We find the line of best fit using the least square method.
First, we calculate the mean:
of time (x), μ(x) = (0 + 2.1 + 5.3 + 8.2 + 10.0 + 12.1)/6 = 6.283333,of velocity (y), μ(y) = (6.1 + 12.2 + 17.4 + 26.4 + 28.1 + 32.8)/6 = 20.5.Now, we find the slope of the line of best fit, using the formula:
m = {∑(x - μ(x))(y - μ(y))}/{∑(x - μ(x))²}.
Taking value from the tables, which is attached, we get:
m = 239.35/109.2683333 = 2.190479096.
Now, we calculate the y-intercept of the line of best fit, using the formula:
b = μ(y) - m.μ(x),
or, b = 20.5 - 2.190479096*6.283333 = 6.736489681.
Now, the equation of the line of best fit, in the form of y = mx + b, can be written as, y = 2.190479096x + 6.736489681, which on approximation, and making y as v, the velocity, and x as t, the time, we get: v = 2.19t + 6.7.
Thus, the equation of the line of best fit, using the least square method is v = 2.19t + 6.7, making the 2nd option as the right choice.
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If amelia wants to make the maximum amount of money working only 22 hours per week, which company should she work for? explain your answer.
C) Company B: Using linear regression models from both data sets, she determines that it pays about $10 more.
What is linear regression?
Linear regression analysis is used to predict the value of a variable based on the value of another variable.
The variable you want to predict is called the dependent variable.
The variable you are using to predict the other variable's value is called the independent variable.
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Amelia should work for (C) company B: using linear regression models from both data sets, she determines that it pays about $10 more.
What is a linear model?The word linear model is used differently in statistics depending on the context. The most common usage is in relation to regression models, and the phrase is frequently used interchangeably with linear regression models. However, the phrase is also used with a different connotation in time series analysis.Linear regression analysis predicts the value of one variable depending on the value of another.The variable you wish to forecast is referred to as the dependent variable.The variable you are using to forecast the value of the other variable is known as the independent variable.Therefore, Amelia should work for (C) company B: using linear regression models from both data sets, she determines that it pays about $10 more.
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The complete question is given below:
If Amelia wants to make the maximum amount of money working only 22 hours per week, which company should she work for? explain your answer.
A) Company A: Using linear regression models from both data sets, she determines that it pays about $14 more.
B) Company A: Using quadratic regression models from both data sets, she determines that it pays about $5 more.
C) Company B: Using linear regression models from both data sets, she determines that it pays about $10 more.
D) Company B: Using exponential regression models from both data sets, she determines that it pays about $8 more.
Write an inequality
greater than (-3) but less than or equal to 3
meaning x
An inequality greater than (-3) but less than or equal to 3 is as follows:
- 3 < x ≤ 3
What is an inequality?An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.
An inequality have the following signs:
<>≤≥Therefore, an inequality greater than (-3) but less than or equal to 3 can be represented as follows:
Note the value we are comparing is x.
Hence,
- 3 < x ≤ 3
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Can someone help me this is Algebra 2 thank you
Answer:
Order of exponentiation can be swapped here, and the fractional power written as a root.
Step-by-step explanation:
The commutative property of multiplication and the rules of exponents apply.
Product of exponentsThe rule is ...
(a^b)^c = a^(bc)
ApplicationThe given expression can be rearranged to ...
[tex]\left(3^\frac{1}{5}\right)^2=3^{\frac{1}{5}\cdot2}=3^{2\cdot\frac{1}{5}}=\left(3^2\right)^\frac{1}{5}\\\\=9^\frac{1}{5}=\boxed{\sqrt[5]{9}}[/tex]
Find the expression for f(x) that makes the following equation true for all values of x
9x*3^x+2=3f(x)
Wayne made cookies. He used 4/5 of a cup of flour and 2/5 of a cup of sugar. How much more flour than sugar did Wayne use?
Write your answer as a fraction or as a whole or mixed number.
Answer:
Wayne used 2/5 more flour than sugar
Step-by-step explanation:
If you add 2/5 to 2/5 you get 4/5
Determine which of the following graphs does not represent a function.
Answer:
Graph b.
Step-by-step explanation:
B is not a function because it fails the vertical line test.
To be a function any vertical line drawn must pass through the graph at one point only. That is not true for graph B - a line can pass through 2 points on this graph.
PLEASE HELP IM STUCK ON THIS
Pick 2 coordinates:
I choose first & last one (0,15) & (8-9)
Change in y is 24
(15--9 = 24)
Change in x is 8
(0 - 8) = - 8
24/-8 = - 3
So, slope = - 3
Hope this helps!
Answer:
-3
Step-by-step explanation:
The formula to find the slope is (change in y)/(change in x). In other words, rise over run.
If we look at the data, we can see that the x and y value changes.
x value: 0 --> 2 --> 4 --> 6 --> 8
y value: 15 --> 9 --> 3 --> -3 --> -9
When y changed from 15 to 9, the x changed from 0 to 2.
y: 15 --> 9
x: 0 --> 2
There was a difference of -6 in the y and a difference of 2 in the x.
At the top, I wrote that the slope was (change in y)/(change in x)
With -6 and 2 we found, we can say that the slope is -6/2.
If we simplify this answer, we end up with -3.
So -3 is the slope of the data.
i need to make a stem and leaf plot for the numbers given below on number 6
Answer:
See the plot below
=========================
Given data420, 369, 375, 382, 410, 376, 397, 411, 356, 387, 355, 373We need to make a stem and leaf plot
Step 1Rearrange the data in the ascending order:
355, 356, 369, 373, 375, 376, 382, 387, 397, 410, 411, 420Step 2Group the data as follows:
355, 356369373, 375, 376382, 387397410, 411420Step 3The first two digits form a stem and the last digits form a leaf.
Make a plot:
Stem | Leaf
35 | 5 636 | 937 | 3 5 638 | 2 739 | 741 | 0 142 | 0AHHHHHHHHHHHH this is so hard
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \cfrac{ {a}^{2} - 64 }{ {a}^{2} - 10a + 24} \sdot \cfrac{ {a}^{2} - 12a + 36 }{ {a}^{2} + 4a - 32} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{( {a}^{} + 8)(a - 8) }{ {a}^{2} - 6a - 4a+ 24} \sdot \cfrac{ {a}^{2} - 6a - 6a + 36 }{ {a}^{2} + 8a - 4a- 32} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{( {a}^{} + 8)(a - 8) }{ {a}^{} (a - 6) - 4(a - 6)} \sdot \cfrac{ {a}^{} (a - 6) - 6(a - 6) }{ {a}^{}(a + 8) - 4(a + 8)} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{( {a}^{} + 8)(a - 8) }{(a - 6) (a -4)} \sdot \cfrac{ (a - 6) (a - 6) }{ {}^{}(a - 4)(a + 8)} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{(a - 8) }{(a -4)} \sdot \cfrac{ (a - 6) }{ {}^{}(a - 4)} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{(a - 8)(a - 6) }{(a -4) {}^{2} } [/tex]
Or [ in expanded form ]
[tex]\qquad \sf \dashrightarrow \: \cfrac{ {a}^{2} - 8a - 6a + 48 }{ {a}^{2} - 8a + 16 } [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{ {a}^{2} -14a + 48 }{ {a}^{2} - 8a + 16 } [/tex]
Answer:
[tex]\dfrac{(a-8)(a-6)}{(a-4)^2}[/tex]
Step-by-step explanation:
Given expression:
[tex]\dfrac{a^2-64}{a^2-10a+24} \cdot \dfrac{a^2-12a+36}{a^2+4a-32}[/tex]
Factor the numerator and denominator of both fractions:
[tex]\textsf{Apply the Difference of Two Squares formula} \:\:\:x^2-y^2=(x-y)(x+y):[/tex]
[tex]\begin{aligned} a^2-64 & =a^2+8^2 \\ & =(a-8)(a+8)\end{aligned}[/tex]
[tex]\begin{aligned}a^2-10a+24 & =a^2-4a-6a+24\\& = a(a-4)-6(a-4)\\ & = (a-6)(a-4) \end{aligned}[/tex]
[tex]\begin{aligned}a^2-12a+36 & =a^2-6a-6a+36\\& = a(a-6)-6(a-6)\\ & = (a-6)(a-6) \end{aligned}[/tex]
[tex]\begin{aligned}a^2+4a-32 & =a^2+8a-4a-32\\& = a(a+8)-4(a+8)\\ & = (a-4)(a+8) \end{aligned}[/tex]
Therefore:
[tex]\dfrac{(a-8)(a+8)}{(a-6)(a-4)} \cdot \dfrac{(a-6)(a-6)}{(a-4)(a+8)}[/tex]
[tex]\textsf{Apply the fraction rule}: \quad \dfrac{a}{b} \cdot \dfrac{c}{d}=\dfrac{ac}{bd}[/tex]
[tex]\dfrac{(a-8)(a+8)(a-6)(a-6)}{(a-6)(a-4)(a-4)(a+8)}[/tex]
Cancel the common factors (a + 8) and (a - 6):
[tex]\dfrac{(a-8)(a-6)}{(a-4)(a-4)}[/tex]
Simplify the numerator:
[tex]\dfrac{(a-8)(a-6)}{(a-4)^2}[/tex]
Geometry: complete these proofs, ASAP!!!
Answer:
1. Given.
2. <5 is supplementary to <4.
2. Angles 5 and 4 are consecutive angles, and by the consecutive angles theorem, the two are supplementary.
3. m<4 + m<5 = 180
3. By the definition of supplementary angles, m<4 + m<5 = 180.
4. m<2 = m<4
4. Angles 2 and 4 are corresponding angles, and by the corresponding angles postulate, the two are congruent. By the definition of congruent angles, m<2 = m<4.
5. m<5 + m<2 = 180
5. Substitution property of equality.
The height of water shooting my fountain is modeled by the function f(x)= -4x^2 +24x -29 where x the distance from the spout in feet. Complete the square to determine the maximum height of the path of the water.
By the use of the completing the square method, the maximum height is 3 ±√29/4 + 9 m.
What is the maximum height of the water?The maximum height has been modeled by the use of the equation f(x)= -4x^2 +24x -29. Now we know that f(x)= h so we can write;
h = -4x^2 +24x -29
Now we have;
0 = -4x^2 +24x -29
-4x^2 +24x -29= 0
x^2 - 6x = -29/4
(x - 3)^2 = -29/4 + 3^2
(x - 3)^2 = -29/4 + 9
x = 3 ±√29/4 + 9 m
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The speed, s, of the current in a certain whirlpool is modeled by x = StartFraction 300 Over d EndFraction, where d is the distance from the center of the whirlpool. Which statement is true?
The real statement is that the closer you get to the center of the vortex, the closer the current speed approaches infinity. option C is correct.
Given the speed s of the flow in a given vortex is modeled by x=300/d, where d is the distance to the center of the vortex.
speed is defined as the rate of change of an object's position in any direction. Speed is measured as the ratio of distance traveled to time traveled.
As d approaches 0, you are approaching the center of the vortex.
[tex]\begin{aligned}S&=\lim_{d\rightarrow 0}\frac{300}{d}\\ &=\frac{300}{0}\\ &=\infty\end[/tex]
Thus, if the flow in a given vortex is modeled by x = 300/d, as one approaches the center of the vortex, the speed of the flow tends to infinity.
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Answer: C- As you move closer to the center of the whirlpool, the speed of the current approaches infinity.
Write the first five terms of the sequence with the given nth term. an = 3n − 1 n!.
The first five terms of the sequence with the given nth term are 1, 3/2, 3/2, 9/8, 27/40.
In this question,
The nth term of the sequence is [tex]a_n=\frac{3^{(n-1)} }{n!}[/tex]
Now substitute the values of n = 1,2,3,4,5
For n = 1,
⇒ [tex]a_1=\frac{3^{(1-1)} }{1!}[/tex]
⇒ [tex]a_1=\frac{3^{0} }{1}[/tex]
⇒ a₁ = 1
For n = 2,
⇒ [tex]a_2=\frac{3^{(2-1)} }{2!}[/tex]
⇒ [tex]a_2=\frac{3^{(1)} }{(1)(2)}[/tex]
⇒ [tex]a_2=\frac{3}{2}[/tex]
For n = 3,
⇒ [tex]a_3=\frac{3^{(3-1)} }{3!}[/tex]
⇒ [tex]a_3=\frac{3^{(2)} }{(1)(2)(3)}[/tex]
⇒ [tex]a_3=\frac{9}{6}[/tex]
⇒ [tex]a_3=\frac{3}{2}[/tex]
For n = 4,
⇒ [tex]a_4=\frac{3^{(4-1)} }{4!}[/tex]
⇒ [tex]a_4=\frac{3^{(3)} }{(1)(2)(3)(4)}[/tex]
⇒ [tex]a_4=\frac{27}{24}[/tex]
⇒ [tex]a_4=\frac{9}{8}[/tex]
For n = 5,
⇒ [tex]a_5=\frac{3^{(5-1)} }{5!}[/tex]
⇒ [tex]a_5=\frac{3^{(4)} }{(1)(2)(3)(4)(5)}[/tex]
⇒ [tex]a_5=\frac{81}{120}[/tex]
⇒ [tex]a_5=\frac{27}{40}[/tex]
Hence we can conclude that the first five terms of the sequence with the given nth term are 1, 3/2, 3/2, 9/8, 27/40.
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Mary's tube of red paint is five sevenths full and her blue paint is four sevenths full. How much red and blue paint does Mary have in total? Use the benchmark fraction one half, 1, and 0 to help you estimate each answer before you solve.
one seventh tube
seven ninths tube
one and two sevenths tubes
one and one seventh tubes PLEASE HELP! (Ill give brainnliest!!)
By adding fractions, we conclude that the correct option is the third one:
"one and two sevenths tubes"
How much red and blue paint does Mary have in total?We know that:
She has 5/7 of the red paint tube.She has 4/7 of the blue paint tube.The total amount of paint will be given by the direct addition of these two fractions, notice that the denominator is the same in both cases, so we can just add the numerators.
5/7 + 4/7 = (5 + 4)/7 = 9/7
We can rewrite this as:
9/7 = 7/7 + 2/7 = 1 + 2/7
Thus, the correct option is the third one
"one and two sevenths tubes"
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Which of the following is equivalent to the quotient below?
√135/√3
A. 5√3
B. √45/3
C. 3√5
D. 3√15
The answer is C. 3√5.
√135/√3√45√3² × 53√5In the circle below, if arc AB = 104 ° and arc CD = 26 °, find the measure of < BPA.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What is the distance between points F and G?
A number line ranges from minus 5 to 5 with increment of 1 unit. Left, Point F is plotted on the number line at minus 3. Right, point G is plotted on the number line at 1.50.
The distance between F and G is
.
A number line ranges from minus 5 to 5 with increment of 1 unit. Left, Point F is plotted on the number line at minus 3. Right, point G is plotted on the number line at 1.50, then the distance between F and G is 4.50.
Calculating the Distance between F and G:
It is given that, on a number line,
Point F is located at -3
Point G is at 1.50
Since, 1.5 > (-3) and each number is at a 1 unit difference form the adjacent number on the number line,
The difference between F and G = 1.50 - ( -3 )
This implies that the distance between F and G = 1.50 + 3
= 4.50 units
The numbers lying between the points F and G on the number line are: -2, -1, 0, and 1
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Answer: 4 1/2
Step-by-step explanation:
Got it right